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 Documentation Ver 1.0.0 August 2011 by
 <a href="http://mmc.geofisica.unam.mx/luiggi">Luis M. de la Cruz</a> <br>
 <a href="http://mmc.geofisica.unam.mx"> GMMC </a> -
 <a href="http://www.geofisica.unam.mx/recnat/"> Depto. de Recursos Naturales </a> -
 <a href="http://www.geofisica.unam.mx"> Instituto de Geof&iacute;sica </a> -
 <a href="http://www.unam.mx"> UNAM </a><br>
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<h1>Examples/05ConvDiffForced/convection4.cpp</h1>  </div>
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<a href="convection4_8cpp.html">Go to the documentation of this file.</a><div class="fragment"><pre class="fragment"><a name="l00001"></a>00001 
<a name="l00039"></a>00039 <span class="preprocessor">#include &lt;iostream&gt;</span>
<a name="l00040"></a>00040 <span class="preprocessor">#include &lt;cmath&gt;</span>
<a name="l00041"></a>00041 <span class="preprocessor">#include &quot;Meshes/NonUniform.hpp&quot;</span>
<a name="l00042"></a>00042 <span class="preprocessor">#include &quot;Equations/ScalarEquation.hpp&quot;</span>
<a name="l00043"></a>00043 <span class="preprocessor">#include &quot;Schemes/NUCDS_CoDi.hpp&quot;</span>
<a name="l00044"></a>00044 <span class="preprocessor">#include &quot;Solvers/TDMA.hpp&quot;</span>
<a name="l00045"></a>00045 <span class="preprocessor">#include &quot;Utils/inout.hpp&quot;</span> 
<a name="l00046"></a>00046 <span class="preprocessor">#include &quot;Utils/num_utils.hpp&quot;</span>
<a name="l00047"></a>00047 <span class="preprocessor">#include &quot;Utils/GNUplot.hpp&quot;</span>
<a name="l00048"></a>00048 <span class="keyword">using namespace </span>Tuna;
<a name="l00049"></a>00049 
<a name="l00050"></a>00050 <span class="comment">// Functor to define the point distribution.</span>
<a name="l00051"></a>00051 <span class="keyword">class </span>MyFunction {      
<a name="l00052"></a>00052   <span class="keywordtype">double</span> lambda; <span class="comment">// distribution factor </span>
<a name="l00053"></a>00053 <span class="keyword">public</span>:                                    
<a name="l00054"></a>00054     MyFunction(<span class="keywordtype">double</span> l) : lambda(l) { }   
<a name="l00055"></a>00055 
<a name="l00056"></a>00056     <span class="keywordtype">double</span> operator() (<span class="keywordtype">double</span> epsi) {      
<a name="l00057"></a>00057         <span class="keywordflow">return</span> ( (exp(lambda * epsi) - 1.0) / 
<a name="l00058"></a>00058                  (exp(lambda       ) - 1.0) ); 
<a name="l00059"></a>00059     }
<a name="l00060"></a>00060 };
<a name="l00061"></a>00061 
<a name="l00062"></a>00062 <span class="comment">// Scalar field in one dimension</span>
<a name="l00063"></a>00063 <span class="keyword">typedef</span> TunaArray&lt;double,1&gt;::huge ScalarField1D;
<a name="l00064"></a>00064 
<a name="l00065"></a>00065 <span class="comment">// Scalar field in two dimensions</span>
<a name="l00066"></a>00066 <span class="keyword">typedef</span> TunaArray&lt;double,2&gt;::huge ScalarField2D;
<a name="l00067"></a>00067 
<a name="l00068"></a>00068 <span class="keyword">template</span>&lt;<span class="keyword">class</span> sfield, <span class="keyword">class</span> t_malla&gt;
<a name="l00069"></a>00069 <span class="keywordtype">void</span> initialVelocity(sfield &amp;u, sfield &amp;v, t_malla &amp;malla,
<a name="l00070"></a>00070                       <span class="keywordtype">double</span> A, <span class="keywordtype">double</span> l_x, <span class="keywordtype">double</span> l)
<a name="l00071"></a>00071 {
<a name="l00072"></a>00072     <span class="keyword">const</span> <span class="keywordtype">int</span> bi = u.lbound(firstDim) + 1, ei = u.ubound(firstDim) - 1,
<a name="l00073"></a>00073         bj = u.lbound(secondDim) + 1, ej = u.ubound(secondDim) - 1;
<a name="l00074"></a>00074 
<a name="l00075"></a>00075     <span class="keywordtype">double</span> A2 = A * l / l_x;
<a name="l00076"></a>00076 
<a name="l00077"></a>00077     ScalarField1D x = malla.getCoord(X), y = malla.getCoord(Y);
<a name="l00078"></a>00078 
<a name="l00079"></a>00079     <span class="keywordflow">for</span>(<span class="keywordtype">int</span> i = bi; i &lt;= ei; ++i)
<a name="l00080"></a>00080         <span class="keywordflow">for</span>(<span class="keywordtype">int</span> j = bj; j &lt;= ej; ++j) {
<a name="l00081"></a>00081           u(i,j) = -A * cos (PI * y(j)) * sin (PI * l * x(i) / l_x);    
<a name="l00082"></a>00082           v(i,j) = A2 * sin (PI * y(j)) * cos (PI * l * x(i) / l_x);
<a name="l00083"></a>00083         }
<a name="l00084"></a>00084 }
<a name="l00085"></a>00085   
<a name="l00086"></a>00086 
<a name="l00087"></a>00087 <span class="keywordtype">int</span> <a class="code" href="convdiff3_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a>() 
<a name="l00088"></a>00088 {
<a name="l00089"></a>00089 
<a name="l00090"></a>00090     <span class="keywordtype">double</span> length_x, length_y;
<a name="l00091"></a>00091     <span class="keywordtype">int</span> num_nodes_x, num_nodes_y;
<a name="l00092"></a>00092     <span class="keywordtype">double</span> right_wall = -0.5, left_wall = 0.5;
<a name="l00093"></a>00093     <span class="keywordtype">double</span> tolerance, dt, error = 1.0, residual;
<a name="l00094"></a>00094     <span class="keywordtype">double</span> lambda, amplitude;
<a name="l00095"></a>00095     <span class="keywordtype">double</span> lcoef;
<a name="l00096"></a>00096     <span class="keywordtype">int</span> max_iter, nmax, frequency, iteration = 0;
<a name="l00097"></a>00097 
<a name="l00098"></a>00098 <span class="comment">// Reading data from the input file</span>
<a name="l00099"></a>00099     std::ifstream input_cin (<span class="stringliteral">&quot;input4&quot;</span>);
<a name="l00100"></a>00100     input_cin &gt;&gt; length_x
<a name="l00101"></a>00101               &gt;&gt; length_y
<a name="l00102"></a>00102               &gt;&gt; num_nodes_x 
<a name="l00103"></a>00103               &gt;&gt; num_nodes_y 
<a name="l00104"></a>00104               &gt;&gt; dt
<a name="l00105"></a>00105               &gt;&gt; nmax
<a name="l00106"></a>00106               &gt;&gt; tolerance
<a name="l00107"></a>00107               &gt;&gt; max_iter
<a name="l00108"></a>00108               &gt;&gt; lambda
<a name="l00109"></a>00109               &gt;&gt; amplitude
<a name="l00110"></a>00110               &gt;&gt; lcoef
<a name="l00111"></a>00111               &gt;&gt; frequency;
<a name="l00112"></a>00112     input_cin.close();
<a name="l00113"></a>00113 
<a name="l00114"></a>00114     <a class="code" href="classTuna_1_1StructuredMesh.html" title="General structured meshes on rectangular domains.">StructuredMesh&lt;NonUniform&lt;double, 2&gt;</a> &gt; mesh(length_x, num_nodes_x,
<a name="l00115"></a>00115                                                 length_y, num_nodes_y);
<a name="l00116"></a>00116     <span class="keywordtype">int</span> mid_nod_x = num_nodes_x / 2 + 1;
<a name="l00117"></a>00117     <span class="keywordtype">int</span> mid_nod_y = num_nodes_y / 2 + 1;
<a name="l00118"></a>00118 <span class="comment">//</span>
<a name="l00119"></a>00119 <span class="comment">// x-axis distribution</span>
<a name="l00120"></a>00120 <span class="comment">//</span>
<a name="l00121"></a>00121     mesh.calcPoints(X, MyFunction(lcoef), 0, length_x * 0.5, mid_nod_x);            
<a name="l00122"></a>00122     mesh.calcPoints(X, MyFunction(-lcoef), length_x * 0.5, length_x, mid_nod_x);
<a name="l00123"></a>00123     mesh.calcDeltas(X);
<a name="l00124"></a>00124 <span class="comment">//</span>
<a name="l00125"></a>00125 <span class="comment">// y-axis distribution</span>
<a name="l00126"></a>00126 <span class="comment">//</span>
<a name="l00127"></a>00127     mesh.calcPoints(Y, MyFunction(lcoef), 0, length_y * 0.5, mid_nod_y);       
<a name="l00128"></a>00128     mesh.calcPoints(Y, MyFunction(-lcoef), length_y * 0.5, length_y, mid_nod_y);
<a name="l00129"></a>00129     mesh.calcDeltas(Y);
<a name="l00130"></a>00130     mesh.print();
<a name="l00131"></a>00131     mesh.writeToFile(<span class="stringliteral">&quot;./Data4/mesh.dat&quot;</span>);
<a name="l00132"></a>00132 
<a name="l00133"></a>00133     <span class="keywordtype">double</span> dx = mesh.getDelta(X);
<a name="l00134"></a>00134     <span class="keywordtype">double</span> dy = mesh.getDelta(Y);
<a name="l00135"></a>00135 
<a name="l00136"></a>00136     <span class="keywordtype">int</span> num_vols_x = mesh.getExtentVolumes(X);
<a name="l00137"></a>00137     <span class="keywordtype">int</span> num_vols_y = mesh.getExtentVolumes(Y);
<a name="l00138"></a>00138 
<a name="l00139"></a>00139     <span class="keywordtype">int</span> stop;
<a name="l00140"></a>00140 <span class="preprocessor">#ifdef WITH_GNUPLOT</span>
<a name="l00141"></a>00141 <span class="preprocessor"></span>    GNUplot plotter;
<a name="l00142"></a>00142     plotter(<span class="stringliteral">&quot;set view 0,0&quot;</span>);
<a name="l00143"></a>00143     plotter(<span class="stringliteral">&quot;splot \&quot;./Data4/mesh.dat\&quot; w l&quot;</span>);
<a name="l00144"></a>00144     std::cout &lt;&lt; <span class="stringliteral">&quot;\n &gt;---&gt; Press &lt;1&gt; and then &lt;enter&gt; to continue \n&quot;</span>;
<a name="l00145"></a>00145     std::cin &gt;&gt; stop;
<a name="l00146"></a>00146 <span class="preprocessor">#endif</span>
<a name="l00147"></a>00147 <span class="preprocessor"></span>
<a name="l00148"></a>00148     ScalarField2D T(mesh.getExtentVolumes());
<a name="l00149"></a>00149     ScalarField2D u(mesh.getExtentVolumes());
<a name="l00150"></a>00150     ScalarField2D v(mesh.getExtentVolumes());
<a name="l00151"></a>00151     ScalarField2D us(num_nodes_x, num_vols_y); <span class="comment">// staggered u-velocity </span>
<a name="l00152"></a>00152     ScalarField2D vs(num_vols_x, num_nodes_y); <span class="comment">// staggered v-velocity</span>
<a name="l00153"></a>00153 
<a name="l00154"></a>00154     ScalarField2D Tn(mesh.getExtentNodes());
<a name="l00155"></a>00155     ScalarField2D un(mesh.getExtentNodes());
<a name="l00156"></a>00156     ScalarField2D vn(mesh.getExtentNodes());
<a name="l00157"></a>00157 
<a name="l00158"></a>00158     Range all = Range::all();
<a name="l00159"></a>00159     T(T.lbound(firstDim), all) = left_wall;   
<a name="l00160"></a>00160     T(T.ubound(firstDim), all) = right_wall;
<a name="l00161"></a>00161 
<a name="l00162"></a>00162     initialVelocity(un, vn, mesh, amplitude, length_x, lambda);
<a name="l00163"></a>00163     NumUtils::staggerFromNodesX(us, un);
<a name="l00164"></a>00164     NumUtils::staggerFromNodesY(vs, vn);
<a name="l00165"></a>00165 
<a name="l00166"></a>00166 <span class="preprocessor">#ifdef WITH_DX</span>
<a name="l00167"></a>00167 <span class="preprocessor"></span>    InOut::writeToFile_DX(un, vn, 0, <span class="stringliteral">&quot;./Data4/velc.&quot;</span>, mesh);
<a name="l00168"></a>00168 <span class="preprocessor">#endif</span>
<a name="l00169"></a>00169 <span class="preprocessor"></span>
<a name="l00170"></a>00170     SparseMatrix&lt; Diagonal&lt;double, 2 &gt; &gt; A(num_nodes_x, num_nodes_y); 
<a name="l00171"></a>00171     <span class="comment">//    DiagonalMatrix&lt;double, 2 &gt; A(num_nodes_x, num_nodes_y); </span>
<a name="l00172"></a>00172     ScalarField2D              b(num_nodes_x, num_nodes_y);
<a name="l00173"></a>00173 
<a name="l00174"></a>00174     
<a name="l00175"></a>00175     <a class="code" href="classTuna_1_1ScalarEquation.html" title="This class derives from GeneralEquation through B &amp;amp; N trick.">ScalarEquation&lt;NUCDS_CoDi&lt;double,2&gt;</a> &gt; conv_diff(T, A, b);
<a name="l00176"></a>00176     conv_diff.setDeltaTime(dt);   
<a name="l00177"></a>00177     conv_diff.setNonUniformMesh(mesh);
<a name="l00178"></a>00178     conv_diff.setGamma(1.0);
<a name="l00179"></a>00179     conv_diff.setNeumann(TOP_WALL);
<a name="l00180"></a>00180     conv_diff.setNeumann(BOTTOM_WALL);
<a name="l00181"></a>00181     conv_diff.setDirichlet(LEFT_WALL);
<a name="l00182"></a>00182     conv_diff.setDirichlet(RIGHT_WALL);
<a name="l00183"></a>00183     conv_diff.setUvelocity(us);
<a name="l00184"></a>00184     conv_diff.setVvelocity(vs);
<a name="l00185"></a>00185     conv_diff.print();
<a name="l00186"></a>00186 
<a name="l00187"></a>00187     ofstream error_fp(<span class="stringliteral">&quot;./Data4/error&quot;</span>), residual_fp(<span class="stringliteral">&quot;./Data4/residual&quot;</span>), 
<a name="l00188"></a>00188       nusselt_fp(<span class="stringliteral">&quot;./Data4/nusselt&quot;</span>);
<a name="l00189"></a>00189 
<a name="l00190"></a>00190 <span class="preprocessor">#ifdef WITH_GNUPLOT</span>
<a name="l00191"></a>00191 <span class="preprocessor"></span>    plotter(<span class="stringliteral">&quot;set grid&quot;</span>);
<a name="l00192"></a>00192     plotter(<span class="stringliteral">&quot;set contour&quot;</span>);
<a name="l00193"></a>00193     plotter(<span class="stringliteral">&quot;set cntrparam level discrete 0.4, 0.3, 0.2, 0.1, 0, -0.1, -0.2, -0.3, -0.4&quot;</span>);
<a name="l00194"></a>00194     plotter(<span class="stringliteral">&quot;set size 0.73,1&quot;</span>);
<a name="l00195"></a>00195     plotter(<span class="stringliteral">&quot;unset surface&quot;</span>);
<a name="l00196"></a>00196 <span class="preprocessor">#endif</span>
<a name="l00197"></a>00197 <span class="preprocessor"></span>
<a name="l00198"></a>00198     <span class="keywordflow">while</span> ( (error &gt; tolerance) &amp;&amp; (iteration &lt;= nmax) ) {
<a name="l00199"></a>00199         conv_diff.calcCoefficients();
<a name="l00200"></a>00200         Solver::TDMA2DY(conv_diff, tolerance, max_iter);
<a name="l00201"></a>00201         residual = conv_diff.calcResidual();
<a name="l00202"></a>00202         error = conv_diff.calcErrorL2();
<a name="l00203"></a>00203         conv_diff.update();
<a name="l00204"></a>00204         nusselt_fp &lt;&lt; iteration  &lt;&lt; <span class="stringliteral">&quot;\t&quot;</span>
<a name="l00205"></a>00205                    &lt;&lt; NumUtils::calcNusseltVert(T,dx*0.5,dy,0) &lt;&lt; endl;
<a name="l00206"></a>00206         
<a name="l00207"></a>00207         error_fp &lt;&lt; iteration  &lt;&lt; <span class="stringliteral">&quot;\t&quot;</span> &lt;&lt; error &lt;&lt; endl;
<a name="l00208"></a>00208         residual_fp &lt;&lt; iteration  &lt;&lt; <span class="stringliteral">&quot;\t&quot;</span> &lt;&lt; residual &lt;&lt; endl;
<a name="l00209"></a>00209 
<a name="l00210"></a>00210         cout &lt;&lt; <span class="stringliteral">&quot;\n ---- Iteration = &quot;</span> &lt;&lt; ++iteration
<a name="l00211"></a>00211              &lt;&lt; <span class="stringliteral">&quot; Residual = &quot;</span> &lt;&lt; residual
<a name="l00212"></a>00212              &lt;&lt; <span class="stringliteral">&quot; Error = &quot;</span> &lt;&lt; error
<a name="l00213"></a>00213              &lt;&lt; endl;
<a name="l00214"></a>00214 
<a name="l00215"></a>00215         <span class="keywordflow">if</span> (!(iteration % frequency)) {
<a name="l00216"></a>00216           NumUtils::interpolateToNodes(Tn, T, mesh);
<a name="l00217"></a>00217 
<a name="l00218"></a>00218 <span class="preprocessor">#ifdef WITH_DX</span>
<a name="l00219"></a>00219 <span class="preprocessor"></span>          InOut::writeToFile_DX(Tn, iteration, <span class="stringliteral">&quot;./Data4/temp.&quot;</span>, mesh);
<a name="l00220"></a>00220 <span class="preprocessor">#endif</span>
<a name="l00221"></a>00221 <span class="preprocessor"></span>
<a name="l00222"></a>00222 <span class="preprocessor">#ifdef WITH_GNUPLOT</span>
<a name="l00223"></a>00223 <span class="preprocessor"></span>          InOut::writeToFile(Tn, 1, <span class="stringliteral">&quot;./Data4/temp.&quot;</span>, dx, dy);
<a name="l00224"></a>00224           plotter(<span class="stringliteral">&quot;splot \&quot;Data4/temp.00001\&quot; w l&quot;</span>);
<a name="l00225"></a>00225           std::cout &lt;&lt; <span class="stringliteral">&quot;\n &gt;---&gt; Press &lt;1&gt; and then &lt;enter&gt; to continue \n&quot;</span>;     
<a name="l00226"></a>00226           std::cin &gt;&gt; stop;     
<a name="l00227"></a>00227 <span class="preprocessor">#endif</span>
<a name="l00228"></a>00228 <span class="preprocessor"></span>
<a name="l00229"></a>00229         }       
<a name="l00230"></a>00230     }
<a name="l00231"></a>00231 <span class="preprocessor">#ifdef WITH_DX</span>
<a name="l00232"></a>00232 <span class="preprocessor"></span>    std::cout &lt;&lt; <span class="stringliteral">&quot;\n\n NOTE: The data were written in the [./Data4] directory in DX format&quot;</span>;
<a name="l00233"></a>00233 <span class="preprocessor">#endif</span>
<a name="l00234"></a>00234 <span class="preprocessor"></span>
<a name="l00235"></a>00235     <span class="keywordflow">return</span> 0;
<a name="l00236"></a>00236 }
<a name="l00237"></a>00237 
<a name="l00238"></a>00238 
<a name="l00239"></a>00239 
<a name="l00240"></a>00240 
<a name="l00241"></a>00241 
<a name="l00242"></a>00242 
<a name="l00243"></a>00243 
</pre></div></div>
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